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A procedure to calculate torsion¶of elliptic curves over ℚ

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Abstract:

We present an algorithm which uses the analytic parameterization of elliptic curves to rapidly calculate torsion subgroups, and calculate its running time. This algorithm is much faster than the “traditional” Lutz–Nagell algorithm used by most computer algebra systems to calculate torsion subgroups.

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois, Urbana, IL 61801, USA.¶e-mail: doud@math.uiuc.edu, , , , , , US

    Darrin Doud

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  1. Darrin Doud
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Received: 7 August 1997 / Revised version: 28 November 1997

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Doud, D. A procedure to calculate torsion¶of elliptic curves over ℚ. manuscripta math. 95, 463–469 (1998). https://doi.org/10.1007/s002290050041

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  • DOI: https://doi.org/10.1007/s002290050041

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